Single amplifier biquad based inductor-free Chua's circuit

TL;DR

This paper presents an inductor-free Chua's circuit implementation using a single amplifier biquad filter and Chua's diode, demonstrating classical chaotic behaviors through simulations and experiments.

Contribution

It introduces a novel inductor-free Chua's circuit design with a single amplifier biquad filter, validated by both numerical and hardware experiments.

Findings

Successfully emulates classical Chua's circuit behaviors

Demonstrates chaotic dynamics including chaos and boundary crisis

Quantifies chaos with Lyapunov exponents

Abstract

The present paper reports an inductor-free realization of Chua's circuit, which is designed by suitably cascading a single amplifier biquad based active band pass filter with a Chua's diode. The system has been mathematically modeled with three-coupled first-order autonomous nonlinear differential equations. It has been shown through numerical simulations of the mathematical model and hardware experiments, that the circuit emulates the behaviors of a classical Chua's circuit, e.g., fixed point behavior, limit cycle oscillation, period doubling cascade, chaotic spiral attractors, chaotic double scrolls and boundary crisis. The occurrence of chaotic oscillation has been established through experimental power spectrum, and quantified with the dynamical measure like Lyapunov exponents.